Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/53, 46/31, 282/81 quickly i.e. 188094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/53, 46/31, 282/81 is 188094.
LCM(87/53, 46/31, 282/81) = 188094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/53,46/31,282/81
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 87,46,282
Least Common Multiple of Numerators i.e. LCM of 87,46,282 is 188094.
GCF of Denominators means GCF of 53,31,81 as per the given fractions.
GCF of 53,31,81 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,46,282
2 | 87, 46, 282 |
3 | 87, 23, 141 |
29, 23, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 23 x 47 = 188094
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 87,46,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,46,282) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,46,282) x common factors =1 x 6 = 6
LCM(87,46,282) = ( 87 × 46 × 282 ) / 6
LCM(87,46,282) = 1128564 / 6
LCM(87,46,282) = 188094
Lets's calculate GCF of 53,31,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188094/1
Therefore the LCM of Fractions 87/53,46/31,282/81 is 188094
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 53,31,81 . The biggest common factor number is the GCF number.
So the greatest common factor 53,31,81 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 87/53, 46/31, 282/81?
Answer: LCM of Numerators as per given numbers 87/53, 46/31, 282/81 is
LCM of Numerators i.e. for 87,46,282 is 188094
GCF of denominators i.e. for 53,31,81 is 1.
Thus, LCM of Fractions is 188094.Finally, LCM of Fractions for 87/53, 46/31, 282/81 is 188094.